TY - JOUR
T1 - Lattice Boltzmann Model for a Class of Viscous Wave Equation
AU - Li , Qianhuan
AU - Chai , Zhenhua
AU - Shi , Baochang
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 440
EP - 453
PY - 2024
DA - 2024/12
SN - 17
DO - http://doi.org/10.4208/aamm.OA-2022-0226
UR - https://global-sci.org/intro/article_detail/aamm/23729.html
KW - Lattice Boltzmann model, a class of viscous wave equation, nerve conduction equation, Chapman-Enskog analysis, second-order accuracy.
AB - <p style="text-align: justify;">In this work, a new lattice Boltzmann model for a class of viscous wave
equation is proposed through the variable transformation, which eliminates the mixed
third order partial derivative term of time and space. Some numerical tests are performed to validate the present model, and the results show that the present model has
a second-order convergence rate in space.</p>